Question

Enter the explicit rule for the geometric sequence.

3/2, 3/4, 3/8, 3/16, 3/32, …

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Answer 1

Answer:
`(3)/(2)`
`((1)/(2))^(n-1)`

Explanation:

`(3)/(2), (3)/(4), (3)/(8), (3)/(16), (3)/(32), ...`

common ratio (r) =
`(1)/(2)`

first term (a₁) =
`(3)/(2)`

`a_(n)` = a₁ (r)ⁿ⁻¹

=
`(3)/(2)`
`((1)/(2))^(n-1)`